“...... Here, if n=m is true, then when n=m+1, using the inductive hypothesis, i=1∏m+1(kiA+1)/(A+1)=(i=1∏m(kiA+1)/(A+1))· (km+1A+1)/(A+1)≤(k1k2··· kmA+1)/(A+1)· (km+1A+1)/(A+1)≤(k1k2··· km+1A+1)/(A+1)。 ”

Chen Zhou asked Chen Xiao as he wrote: "Can you understand this step?"

Chen Xiao shook his head and nodded again: "I can understand it, it's just a little difficult to ......."

Chen Zhou said strangely: "What's so difficult?"

"Uh......" Chen Xiao said hesitantly, "It's pushed down like this according to the steps, but the point is, I can't think of the key steps in this......"

Hearing Chen Xiao's words, Chen Zhou smiled: "It's okay, it's normal that you can't think of it, the main thing is that your own knowledge reserve is not enough." There is only one way to solve the problem, see more, think more, and accumulate more. ”

Chen Xiao nodded silently.

Chen Zhou put down the scratch paper and continued: "Finally, by using mathematical induction, we can make the inequality true for all positive integers n, and the proposition will be proven. This question is mainly about the flexible use of inductive methods, you think about it. ”

"Hmm. Chen Xiao nodded yes, picked up the scratch paper, and pondered it to himself.

Chen Zhou glanced at Chen Xiao and did not speak.

got up, gave up the position to Chen Xiao, then went to cut a piece of watermelon, washed some grapes, and brought it to Chen Xiao.

After doing this, Chen Zhou glanced at the time and returned to his house.

Sitting down at the desk, Chen Zhou began to make detailed plans to refine his time.

Time thing, as long as you manage it well, you'll find that it actually has a lot of free space.

And, in a certain sense, time is movement.

We define a day as nothing more than the rotation of the earth.

The year we define is nothing more than the earth revolving around the sun.

Therefore, saving time can also be understood as chasing the movement of the earth.

Thinking about it this way, Chen Zhou instantly felt that the concept of time management had risen to another level.

After all, the sport of chasing the earth is handsome just to think about!

After making a plan, Chen Zhou began to enter the rhythm of the afternoon.

Continue to work on the hail conjecture.

After a busy afternoon, Chen Zhou left several pages of errors on the wrong question set.

No way, so far, he still hasn't found a good idea.

And what he can do is still study and research.

Constantly draw knowledge from the relevant literature, and then continue to try to solve the problem of hail conjecture.

Putting down the work at hand, Chen Zhou rubbed his temples.

Learning and research are both physical and mental drains.

Chen Zhou felt a little tired.

At seven o'clock in the evening, Chen Zhou and Yang Yiyi turned on the video.

He began to pick up the morning's work, studying and summarizing the subject materials sent by Dean Yang.

Chen Zhou's plan is like this, leaving the topics for Dean Yang in the evening, the hail conjecture in the afternoon, and the textbooks in the physics department in the morning.

Under this fulfilling arrangement, Chen Zhou chased the movement of the earth.

In this way, Chen Zhou has not been out for more than 20 days since he came back from summer vacation.

The reason why I went out today was because Chen Xiao's high school entrance examination results came out, and he accompanied Chen Xiao to find a teacher to fill in the volunteers.

Like the college entrance examination, the high school entrance examination is also required to fill in the volunteers.

It's just that, unlike the college entrance examination, the voluntary filling in the high school entrance examination is not so complicated.

The school has unified enrollment, orientation and expanded enrollment places.

Which school each student can go to is basically determined after checking the grades and rankings.

The full name of No. 3 Middle School is No. 3 Middle School, which is a junior high school.

This is also where Chen Zhou went to junior high school.

came to No. 3 Middle School with Chen Xiao and found Chen Xiao's homeroom teacher.

Chen Xiao's head teacher didn't recognize Chen Zhou at first, and he didn't remember it until Chen Xiao introduced him.

Ah, this is actually the top science student in our province......

The head teacher hurriedly greeted Chen Zhou warmly.

It made Chen Zhou a little embarrassed.

Moreover, in the class teacher's office, there are teachers from other classes, and some students who also come to check their grades and fill in their volunteers.

Hearing Chen Zhou's movements on their side, they all looked at Chen Zhou curiously.

In the past, they had heard that Chen Xiao had an elder brother who was the top scorer in the exam, but it was the first time they had seen the real person.

Curiosity is inevitable.

Chen Zhou was naturally accustomed to this kind of attention, but Chen Xiao was obviously a little uncomfortable.

Because by Chen Zhou's side, he felt full of pressure.

Fortunately, after Chen Zhou asked Chen Xiao's results and rankings, he was completely relieved.

The exam is very good, the school is the first, the county high school examination champion, the city high school examination champion, you can go to the top few high schools in the province.

This result is much stronger than Chen Zhou's back then.

Seeing that Chen Xiao had filled in the volunteers, Chen Zhou planned to leave with Chen Xiao.

At this moment, a man hurriedly walked in.

Chen Zhou glanced at it, only felt a little familiar, and didn't think of it for a while.

The other party is different, obviously coming for Chen Zhou.

I saw this person walking towards Chen Zhou.

Chen Xiao's head teacher also got up at this time and greeted him: "Principal Ruan, why are you here?"

Hearing this Principal Ruan, Chen Zhou instantly rang out, isn't this the vice principal of the third middle school who was in charge of teaching and research when he was in junior high school, often catching himself for being late?

"I'm here to find our classmate Chen Zhou. Principal Ruan replied, and his whole gaze stayed on Chen Zhou.

"Well, hello Principal Nguyen. Chen Zhou hesitated slightly, but still spoke and greeted politely.

"Classmate Chen Zhou, why don't you go back to your alma mater and not say hello in advance?" Principal Ruan's hearty voice made Chen Zhou quite embarrassed.

He's not a celebrity, and he's just accompanying his brother to fill in a volunteer, what's this greeting......

Chen Zhou looked at Principal Ruan and said, "Principal Ruan, do you have something to do with me?"

Principal Ruan didn't beat around the bush, but said directly: "I've been embarrassed to disturb you, but this will happen to be your arrival at school, so I thought, do you want to come to our students, your juniors, to share your learning experience?"

Chen Zhou was slightly stunned, this Principal Ruan is really welcome, it has been a year since he finished the college entrance examination, and he didn't come to see him earlier......

But everyone said it, and it was in the name of his alma mater, and Chen Zhou couldn't refuse.

What's more, in Chen Zhou's understanding, this sharing, it is estimated that the school will gather a lot of students, and it should be able to brush up on a wave of experience.

Thinking of this, Chen Zhou said, "No problem. ”

Principal Ruan was overjoyed and immediately said, "Then tomorrow morning, in the auditorium of No. 3 Middle School, how about it?"

Chen Zhou nodded.

Since everyone has thought about it, and you don't need to worry about it, let's wait to gain experience.

On the way home, Chen Zhou learned that No. 3 Middle School originally planned to arrange a graduation ceremony tomorrow.

Chen Zhou realized that he had forgotten about this stubble.

This has always been the habit of the third middle school, and on the second day of the release of the high school entrance examination results, all the junior high school students returned to the school to participate in the graduation ceremony.

Chen Zhou was slightly embarrassed.